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90666620 = 225112631567
BaseRepresentation
bin1010110011101…
…11011001111100
320022121100012222
411121313121330
5141202312440
612555144512
72150440112
oct531673174
9208540188
1090666620
11471a71a0
1226445138
1315a264b5
14c081ab2
157e5e2b5
hex567767c

90666620 has 48 divisors (see below), whose sum is σ = 208631808. Its totient is φ = 32823360.

The previous prime is 90666607. The next prime is 90666629. The reversal of 90666620 is 2666609.

90666620 = 33632 + 33642 + ... + 33702.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90666629) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 57077 + ... + 58643.

It is an arithmetic number, because the mean of its divisors is an integer number (4346496).

Almost surely, 290666620 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 90666620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104315904).

90666620 is an abundant number, since it is smaller than the sum of its proper divisors (117965188).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

90666620 is a wasteful number, since it uses less digits than its factorization.

90666620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1850 (or 1848 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 35.

The square root of 90666620 is about 9521.9021209000. The cubic root of 90666620 is about 449.2441963108.

Subtracting from 90666620 its reverse (2666609), we obtain a triangular number (88000011 = T13266).

The spelling of 90666620 in words is "ninety million, six hundred sixty-six thousand, six hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 220 263 526 1052 1315 1567 2630 2893 3134 5260 5786 6268 7835 11572 14465 15670 17237 28930 31340 34474 57860 68948 86185 172370 344740 412121 824242 1648484 2060605 4121210 4533331 8242420 9066662 18133324 22666655 45333310 90666620